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math.AC2022★ 2 cited
Equivariant resolutions over Veronese rings
Ayah Almousa, Michael Perlman, Alexandra Pevzner +2
Working in a polynomial ring where is an arbitrary commutative ring with , we consider the Veronese subalgebras ,…
math.AC2022
Alexander duals of symmetric simplicial complexes and Stanley-Reisner Ideals
Ayah Almousa, Kaitlin Bruegge, Martina Juhnke-Kubitzke +2
Given an ascending chain of $\Sym$-invariant squarefree monomial ideals, we study the corresponding chain of Alexander duals .…
math.AC2022★ 3 cited
Root polytopes, tropical types, and toric edge ideals
Ayah Almousa, Anton Dochtermann, Ben Smith
We consider arrangements of tropical hyperplanes where the apices of the hyperplanes are taken to infinity in certain directions. Such an arrangement defines a decomposition of Euc…